I want to make open topped boxes with several sheets of cardboard 15cm long by 8cm wide. I plan to make the oxes by cutting squares from the corners and folding up the sides. What is the side length of each square that should be cut out to give a box maximum volume?

Kamrie wants to paint her living room. The rectangular room measures 20 feet by 15 feet and has 10-foot ceilings. Along one of the long walls, there are three windows that each measure 3 feet by 8 feet. Along one of the short walls, there are two windows that each measure 3 feet by 8 feet. Along the other long wall, there is a rectangular opening that measures 7 feet by 8 feet. The cans of paint Kamrie will purchase cover 415 square feet. Determine the area of the doors, windows, and rectangular opening.

the roof of a house has a shape of a pyramid with a square base of 8m sides. the height of this pyramid is 3m. mr. gordon wants to cover this roof with plywood worth $28 per m2. what will be the cost of this renovation.

The wall of a house has four windows. Each is a square window with a sideof 82 centimeters. How many square meters of the wall are window?